Recent Trends, Applications, and Perspectives in 3D Shape Similarity Assessment

The recent introduction of 3D shape analysis frameworks able to quantify the deformation of a shape into another in terms of the variation of real functions yields a new interpretation of the 3D shape similarity assessment and opens new perspectives. Indeed, while the classical approaches to similar...

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Vydáno v:	Computer graphics forum Ročník 35; číslo 6; s. 87 - 119
Hlavní autoři:	Biasotti, S., Cerri, A., Bronstein, A., Bronstein, M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford Blackwell Publishing Ltd 01.09.2016
Témata:	3-D graphics 3D shape distances 3D shape matching Analysis Assessments Classification Deformation I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling; I.3.6 [Computer Graphics]: Methodology and Techniques I.3.6 [Computer Graphics]: Methodology and Techniques Image processing systems map-based correspondence Mathematical analysis Mathematical models Segmentation Shape recognition Similarity Studies
ISSN:	0167-7055, 1467-8659
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Shrnutí:	The recent introduction of 3D shape analysis frameworks able to quantify the deformation of a shape into another in terms of the variation of real functions yields a new interpretation of the 3D shape similarity assessment and opens new perspectives. Indeed, while the classical approaches to similarity mainly quantify it as a numerical score, map‐based methods also define (dense) shape correspondences. After presenting in detail the theoretical foundations underlying these approaches, we classify them by looking at their most salient features, including the kind of structure and invariance properties they capture, as well as the distances and the output modalities according to which the similarity between shapes is assessed and returned. We also review the usage of these methods in a number of 3D shape application domains, ranging from matching and retrieval to annotation and segmentation. Finally, the most promising directions for future research developments are discussed. The recent introduction of 3D shape analysis frameworks able to quantify the deformation of a shape into another in terms of the variation of real functions yields a new interpretation of the 3D shape similarity assessment and opens new perspectives. Indeed, while the classical approaches to similarity mainly quantify it as a numerical score, map‐based methods also define (dense) shape correspondences.
Bibliografie:	istex:5165ECAABE2E84B1DE17B05BBBBCACC32D885DA2 ArticleID:CGF12734 ark:/67375/WNG-9CMWQRBH-X SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	0167-7055 1467-8659
DOI:	10.1111/cgf.12734